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Simplifying 7 + 6(5 + -3x) = -11 + -2x 7 + (5 * 6 + -3x * 6) = -11 + -2x 7 + (30 + -18x) = -11 + -2x Combine like terms: 7 + 30 = 37 37 + -18x = -11 + -2x Solving 37 + -18x = -11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 37 + -18x + 2x = -11 + -2x + 2x Combine like terms: -18x + 2x = -16x 37 + -16x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 37 + -16x = -11 + 0 37 + -16x = -11 Add '-37' to each side of the equation. 37 + -37 + -16x = -11 + -37 Combine like terms: 37 + -37 = 0 0 + -16x = -11 + -37 -16x = -11 + -37 Combine like terms: -11 + -37 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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